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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

If b is 3, x=-1

Step-by-step explanation:

-2(3x-5)=16

use distributive property

-6x+10=16

take 10 away from both sides

-6x=6

divide both sides by -6

x=-1

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7 is a factor of which number?<br> 28<br> 16<br> 11<br> 4 4

maw [93]

Answer:

Step-by-step explanation:

28 = 7 x 4

So,

7 is a factor of 28.

6 0

3 years ago

What is the square and square root of 9x⁸

adelina 88 [10]

Answer:

square: (9x^8)^2= 81x^16

square root: (9x^8)^1/2 = 3x^4

Step-by-step explanation:

the ^ mean that the following num should be like this ⁸

8 0

3 years ago

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.

ivann1987 [24]

Answer:

4 friends evenly divided up a n -slice pizza.

So, the number of slices each friend received = n/4

Now, Harrison ate 1 fewer slice than he received. As he received n/4 slices, so 1 fewer than n/4 means......

Harrison ate n/4-1 slices of pizza.

Step-by-step explanation:

6 0

2 years ago

Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

Please solve the math question: |4x−4(x+1)|=4

alexgriva [62]

Answer:

x has infinite solutions

Step-by-step explanation:

|4x−4(x+1)|=4

Simplify inside the absolute value by distributing the 4

|4x−4x+4|=4

Combine like terms

|4|=4

The absolute value of 4 is 4

4=4

This is always true, so x is all real values

x has infinite solutions

3 0

3 years ago

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